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Finding the Fourth Proportional to 14,445.44, 21,656 and 7,046.08

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Solution

The fourth proportional to 14,445.44, 21,656 and 7,046.08 is: 10,563.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,445.44 : 21,656 = 7,046.08 : x
  2. Step 2: Convert to fraction form
    14,445.44/21,656 = 7,046.08/x
  3. Step 3: Cross multiply
    14,445.44x = 21,656 × 7,046.08
  4. Step 4: Simplify right side
    14,445.44x = 152,589,908.48
  5. Step 5: Solve for x
    x = 152,589,908.48/14,445.44
  6. Step 6: Final answer
    x = 10,563.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.